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Finding the Fourth Proportional to 11,482.35, 15,844.41 and 6,447.12

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Solution

The fourth proportional to 11,482.35, 15,844.41 and 6,447.12 is: 8,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.35 : 15,844.41 = 6,447.12 : x
  2. Step 2: Convert to fraction form
    11,482.35/15,844.41 = 6,447.12/x
  3. Step 3: Cross multiply
    11,482.35x = 15,844.41 × 6,447.12
  4. Step 4: Simplify right side
    11,482.35x = 102,150,777.36
  5. Step 5: Solve for x
    x = 102,150,777.36/11,482.35
  6. Step 6: Final answer
    x = 8,896.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.